Composite fermions in quantum Hall systems
John J. Quinn, Arkadiusz Wojs, Kyung-Soo Yi, Jennifer J. Quinn
Abstract
The occurrence of incompressible quantum fluid states of a two dimensional system is a result of electron--electron interactions in a highly degenerate fractionally filled Landau level. Novel quasiparticles (QP's) called composite Fermions (CF's) have allowed a simple single particle description of the most prominent incompressible states. Residual interactions among these QP's are investigated. These interactions determine the type of "daughter states" that can occur at the next generation. We demonstrate that at certain values of the QP filling factor nuQP, Laughlin correlations among the QP's give rise to states of the standard CF hierarchy. At other values of nuQP pairing of QP's is found leading to a novel hierarchy of incompressible states.
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